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Finding the Fourth Proportional to 161.85, 241.10 and 147.81

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Solution

The fourth proportional to 161.85, 241.10 and 147.81 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.85 : 241.10 = 147.81 : x
  2. Step 2: Convert to fraction form
    161.85/241.10 = 147.81/x
  3. Step 3: Cross multiply
    161.85x = 241.10 × 147.81
  4. Step 4: Simplify right side
    161.85x = 35,636.25
  5. Step 5: Solve for x
    x = 35,636.25/161.85
  6. Step 6: Final answer
    x = 220.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.